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Finding the Third Proportional to 112,463 and 169,436

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Solution

The third proportional to 112,463 and 169,436 is: 255,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,463 : 169,436 = 169,436 : x
  2. Step 2: Convert to fraction form
    112,463/169,436 = 169,436/x
  3. Step 3: Cross multiply
    112,463x = 169,436 × 169,436
  4. Step 4: Simplify right side
    112,463x = 28,708,558,096
  5. Step 5: Solve for x
    x = 28,708,558,096/112,463
  6. Step 6: Final answer
    x = 255,271.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.